Here is the full list of all 51 METAL GEAR SOLID 2: Sons of Liberty - there are Master Collection Version achievements.
Earn the title of Big Boss
Place first in 50 different VR/Alternative missions
Tranquilize 100 enemies
Break the neck of 30 enemies
Get the Plant stealth suit
Get the Tanker stealth suit
Beat 30 enemies unconscious
Destroy 5 cameras
Get the infinity wig
Get the bandana
Hear Johnny's bowel noises in two locations
Beat the Tanker and Plant chapters on any difficulty
Clear the game without killing anyone
Clear the game without entering Alert Mode (not including events where Alert Mode is mandatory)
Catch a glimpse of Vamp standing in the streets of New York during the end cinematic
Defeat Solidus Snake
Defeat Metal Gear RAY
Befriend Olga Gurlukovich
Acquire the digital camera
Find Emma Emmerich
Defeat Vamp
Meet President James Johnson
Destroy the AV-88 Harrier II
Learn the location of the president
Collect all boxes
Defeat Fatman
Survive Fortune's attack
Complete Boss Survival
Learn how to defuse C4 bombs from Peter Stillman
Complete at least one of the Snake Tales
Lure a guard with a girlie magazine
Watch Rose kill Raiden on a rooftop
Watch something in the Casting Theater
Get sea lice all over your rations
Meet Revolver Ocelot
Send Otacon a picture of the marine with no pants
Take a clear photograph of the ghost image in Hold No. 2
Down an enemy with steam from a pipe
Hold up 30 enemies
Disorient an enemy with a cloud of smoke from a fire extinguisher
Attain grip level 3
Defeat Olga Gurlukovich
Collect a dog tag
Get caught by Otacon stimulating yourself
Put an enemy in a locker
Kiss a poster in a locker
Shoot an enemy radio
Collect every type of weapon on the Tanker
Complete a VR or Alternative mission
Collect every type of weapon in the Plant
Read all the pages in the Screenplay Book